Weights, vertices and a correspondence of characters in groups of odd order (Q1319306)
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scientific article; zbMATH DE number 549749
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weights, vertices and a correspondence of characters in groups of odd order |
scientific article; zbMATH DE number 549749 |
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Weights, vertices and a correspondence of characters in groups of odd order (English)
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12 April 1994
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We prove that for groups of odd order there is a natural correspondence between the irreducible Brauer characters of the group and its weights. In fact, if \(P\) is any \(p\)-subgroup of a finite group \(G\) of odd order, there exists a natural bijection between the irreducible Brauer characters of \(G\) with vertex \(P\) onto the irreducible Brauer characters of \(N_ G(P)\) with vertex \(P\).
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groups of odd order
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natural correspondence
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irreducible Brauer characters
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weights
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vertex
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